2828433552 has 160 divisors (see below), whose sum is σ = 8654684160. Its totient is φ = 778913280.

The previous prime is 2828433551. The next prime is 2828433581. The reversal of 2828433552 is 2553348282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2828433551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3988974 + ... + 3989682.

It is an arithmetic number, because the mean of its divisors is an integer number (54091776).

Almost surely, 2^2828433552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327342080).

2828433552 is an abundant number, since it is smaller than the sum of its proper divisors (5826250608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2828433552 is a wasteful number, since it uses less digits than its factorization.

2828433552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2828433552 is about 53183.0193952920. The cubic root of 2828433552 is about 1414.2146335813.

The spelling of 2828433552 in words is "two billion, eight hundred twenty-eight million, four hundred thirty-three thousand, five hundred fifty-two".